This table gives further details of the multiple regression estimated in Exercise 32. Assume that the MRM satisfies the conditions for using this model for inference.

(a) Fill in the column of t-statistics.
(b) Estimate the column of p-values using the Empirical Rule. Only rough estimates are needed.
(c) Does the addition of Office to a simple regression using only Rooms as an explanatory variable produce a statistically significant increase in R2?
(d) Does the addition of Rooms to a simple regression using only Office as an explanatory variable produce a statistically significant increase in R2?

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Estimate SE -Statistic p-Value Intercept 53.9826 5.1777 Rooms 0.0073 0.0013 Office 0.0216 0.0176